Discontinuous Control Systems

Frequency-Domain Analysis and Design

Authors: Boiko, Igor

  • A novel frequency-domain tool is presented in detail
  • Only book on discontinuous systems that covers the frequency-domain approach
  • Provides an alternative treatment of sliding mode control in discontinuous control systems
  • Practical examples are presented, with applications to electro-mechanical systems, process control, and electronics
  • LPRS theory is presented in detail beginning with basic concepts and progressing to computing formulas, algorithms, and MATLAB® code
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eBook $109.00
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  • ISBN 978-0-8176-4753-7
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  • Immediate eBook download after purchase
Hardcover $139.00
price for USA
  • ISBN 978-0-8176-4752-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

Discontinuous control systems are one of the most important and oldest types of nonlinear systems; however, the available methods of analysis of their input-output properties are based on the approximate describing function method, which narrows the application of existing techniques to systems having good low-pass filtering properties. This book provides new insight on the problem of closed-loop performance and oscillations in discontinuous control systems, covering the class of systems that do not necessarily have low-pass filtering properties. The author provides a practical, yet rigorous and exact approach to analysis and design of discontinuous control systems via application of a novel frequency-domain tool: the locus of a perturbed relay system (LPRS).

LPRS theory is presented in detail beginning with basic concepts and progressing to computing formulas, algorithms, and MATLAB® code. As a result of LPRS properties such as exactness, simplicity, and convenience, many problems of analysis and design of discontinuous systems are solved easily by using the theory described. Presented are a number of practical examples applying the theory to analysis and design of discontinuous control systems from various branches of engineering, including electro-mechanical systems, process control, and electronics.

A few chapters of the book are devoted to frequency-domain theory of sliding mode control, which is presented as a special type of discontinuous control. LPRS analysis of the effects of chattering and nonideal closed-loop performance in sliding mode systems having parasitic dynamics, as well as the relationship of those effects with the ideal sliding mode, are given.

Discontinuous Control Systems is intended for readers who have knowledge of linear control theory and will be of interest to graduate students, researchers, and practicing engineers involved in systems analysis and design.

Reviews

From the reviews:

“The purpose of this book is to present a new frequency domain theory of discontinuous control systems in which the control systems are viewed and studied as servo systems. … This book is primarily a research monograph, as it is devoted only to frequency domain theory of discontinuous control systems. … it also has many features of textbook, as the theory presented covers a relatively large classic nonlinear control area. The book, therefore, can be used by researcher, practitioners, and undergraduate and graduate students.” (Ion Bogdan, Iasi Polytechnic Magazine, Vol. 21 (1/4), March/December, 2009)

Table of contents (9 chapters)

  • The servo problem in discontinuous control systems

    Pages 3-17

  • The locus of a perturbed relay system (LPRS) theory

    Pages 19-55

  • Input-output analysis of relay servo systems

    Pages 57-65

  • Analysis of sliding modes in the frequency domain

    Pages 67-102

  • Performance analysis of second-order SM control algorithms

    Pages 103-122

Buy this book

eBook $109.00
price for USA (gross)
  • ISBN 978-0-8176-4753-7
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $139.00
price for USA
  • ISBN 978-0-8176-4752-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Discontinuous Control Systems
Book Subtitle
Frequency-Domain Analysis and Design
Authors
Copyright
2009
Publisher
Birkhäuser Basel
Copyright Holder
Birkhäuser Boston
eBook ISBN
978-0-8176-4753-7
DOI
10.1007/978-0-8176-4753-7
Hardcover ISBN
978-0-8176-4752-0
Edition Number
1
Number of Pages
XIV, 212
Topics